## Results (displaying matches 1-50 of 301) Next

Label Name Order Parity Solvable Subfields Low Degree Siblings
12T1 $C_{12}$ 12 -1 Yes $C_2$, $C_3$, $C_4$, $C_6$
12T2 $C_6\times C_2$ 12 1 Yes $C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3
12T3 $D_6$ 12 1 Yes $C_2$ x 3, $S_3$, $C_2^2$, $S_3$, $D_{6}$ x 2 6T3 x 2
12T4 $A_4$ 12 1 Yes $C_3$, $A_4$, $A_4$ 4T4, 6T4
12T5 $C_3 : C_4$ 12 -1 Yes $C_2$, $S_3$, $C_4$, $S_3$
12T6 $A_4\times C_2$ 24 1 Yes $C_3$, $A_4$, $A_4\times C_2$ 6T6, 8T13, 12T7, 24T9
12T7 $A_4 \times C_2$ 24 1 Yes $C_2$, $C_3$, $C_6$, $A_4$, $A_4\times C_2$ 6T6, 8T13, 12T6, 24T9
12T8 $S_4$ 24 -1 Yes $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T9, 24T10
12T9 $S_4$ 24 1 Yes $C_2$, $S_3$, $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T8, 24T10
12T10 $S_3 \times C_2^2$ 24 1 Yes $C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3 12T10 x 3, 24T11
12T11 $S_3 \times C_4$ 24 -1 Yes $C_2$, $S_3$, $C_4$, $D_{6}$ 12T11, 24T12
12T12 $D_{12}$ 24 -1 Yes $C_2$, $S_3$, $D_{4}$, $D_{6}$ 12T12, 24T13
12T13 $(C_6\times C_2):C_2$ 24 -1 Yes $C_2$, $S_3$, $D_{4}$, $D_{6}$ 12T15, 24T14
12T14 $D_4 \times C_3$ 24 -1 Yes $C_2$, $C_3$, $D_{4}$, $C_6$ 12T14, 24T15
12T15 $(C_6\times C_2):C_2$ 24 -1 Yes $C_2$, $S_3$, $D_{4}$, $S_3$ 12T13, 24T14
12T16 $S_3^2$ 36 1 Yes $C_2$ x 3, $C_2^2$, $S_3^2$ 6T9, 9T8, 18T9, 18T11 x 2, 36T13
12T17 $(C_3\times C_3):C_4$ 36 -1 Yes $C_2$, $C_4$, $C_3^2:C_4$ 6T10 x 2, 9T9, 12T17, 18T10, 36T14
12T18 $C_6\times S_3$ 36 1 Yes $C_2$ x 3, $C_2^2$, $S_3\times C_3$ 18T6 x 2, 36T6
12T19 $C_3\times (C_3 : C_4)$ 36 -1 Yes $C_2$, $C_4$, $S_3\times C_3$ 36T5
12T20 $C_3\times A_4$ 36 1 Yes $C_3$, $A_4$ 12T20 x 2, 18T8, 36T12
12T21 $C_2\times S_4$ 48 1 Yes $C_2$, $S_3$, $S_3$, $S_4\times C_2$ x 2 6T11 x 2, 8T24 x 2, 12T22, 12T23 x 2, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
12T22 $C_2 \times S_4$ 48 -1 Yes $S_3$, $S_4$ 6T11 x 2, 8T24 x 2, 12T21, 12T23 x 2, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
12T23 $C_2 \times S_4$ 48 1 Yes $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$ 6T11 x 2, 8T24 x 2, 12T21, 12T22, 12T23, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
12T24 $C_2 \times S_4$ 48 1 Yes $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$ 6T11 x 2, 8T24 x 2, 12T21, 12T22, 12T23 x 2, 12T24, 16T61, 24T46, 24T47, 24T48 x 2
12T25 $C_2^2 \times A_4$ 48 1 Yes $C_2$, $C_3$, $C_6$, $A_4\times C_2$ x 2 12T25 x 2, 12T26 x 2, 16T58, 24T49 x 3, 24T50
12T26 $C_2^2 \times A_4$ 48 1 Yes $C_3$, $A_4\times C_2$ x 3 12T25 x 3, 12T26, 16T58, 24T49 x 3, 24T50
12T27 $A_4:C_4$ 48 -1 Yes $S_3$, $S_4$ 12T30, 16T62, 24T51, 24T57
12T28 $S_3\times D_4$ 48 -1 Yes $C_2$, $S_3$, $D_{4}$, $D_{6}$ 12T28 x 3, 24T52 x 2, 24T53 x 2, 24T54 x 2
12T29 $C_4\times A_4$ 48 -1 Yes $C_2$, $C_3$, $C_6$ 16T57, 24T55, 24T56
12T30 $A_4:C_4$ 48 -1 Yes $C_2$, $S_3$, $S_3$ 12T27, 16T62, 24T51, 24T57
12T31 $C_4^2:C_3$ 48 1 Yes $C_3$, $A_4$ 12T31, 16T63, 24T58
12T32 $C_2^4:C_3$ 48 1 Yes $C_3$, $A_4$ x 3 12T32 x 9, 16T64, 24T59 x 5
12T33 $A_5$ 60 1 No $\PSL(2,5)$ 5T4, 6T12, 10T7, 15T5, 20T15, 30T9
12T34 $S_3\wr C_2$ 72 1 Yes $C_2$ x 3, $C_2^2$, $C_3^2:D_4$ 6T13 x 2, 9T16, 12T34, 12T35 x 2, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
12T35 $S_3\wr C_2$ 72 -1 Yes $C_2$, $D_{4}$, $C_3^2:D_4$ 6T13 x 2, 9T16, 12T34 x 2, 12T35, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
12T36 $S_3\wr C_2$ 72 -1 Yes $C_2$, $D_{4}$, $C_3^2:D_4$ 6T13 x 2, 9T16, 12T34 x 2, 12T35 x 2, 12T36, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
12T37 $C_2\times S_3^2$ 72 1 Yes $C_2$ x 3, $C_2^2$, $S_3^2$ 12T37, 18T29 x 4, 24T73, 36T34 x 2, 36T40 x 4
12T38 $C_3^2:D_4$ 72 -1 Yes $C_2$, $D_{4}$, $S_3^2$ 12T38, 24T74, 36T33, 36T38
12T39 $C_2.S_3^2$ 72 -1 Yes $C_2$, $C_4$, $S_3^2$ 12T39, 24T75, 36T32 x 2
12T40 $C_2\times C_3:S_3.C_2$ 72 1 Yes $C_2$ x 3, $C_2^2$, $C_3^2:C_4$ 12T40, 12T41 x 2, 18T27 x 2, 24T76 x 2, 36T35, 36T36
12T41 $C_2\times C_3:S_3.C_2$ 72 -1 Yes $C_2$, $C_4$, $C_3^2:C_4$ 12T40 x 2, 12T41, 18T27 x 2, 24T76 x 2, 36T35, 36T36
12T42 $C_3\times C_3:D_4$ 72 -1 Yes $C_2$, $D_{4}$, $S_3\times C_3$ 12T42, 24T77, 36T19, 36T26
12T43 $S_3\times A_4$ 72 1 Yes $S_3$, $A_4$ 18T31, 18T32, 24T78, 24T83, 36T21, 36T50, 36T51
12T44 $C_3:S_4$ 72 -1 Yes $S_3$, $S_4$ 12T44 x 2, 18T37, 18T40, 24T79 x 3, 36T23, 36T56
12T45 $C_3\times S_4$ 72 -1 Yes $C_3$, $S_4$ 18T30, 18T33, 24T80, 24T84, 36T20, 36T52
12T46 $F_9$ 72 1 Yes $C_2$, $C_4$ 9T15, 18T28, 24T81, 36T49
12T47 $PSU(3,2)$ 72 1 Yes $C_2$ x 3, $C_2^2$ 9T14, 18T35 x 3, 24T82, 36T55
12T48 $C_2^2\times S_4$ 96 1 Yes $C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2 12T48 x 11, 16T182 x 4, 24T125, 24T126 x 6, 24T150 x 3, 24T151 x 4, 24T152 x 4, 32T388
12T49 $\GL(2,Z/4)$ 96 -1 Yes $S_3$, $S_4\times C_2$ 12T49, 12T50, 12T52, 16T186, 16T193, 24T153, 24T154, 24T155 x 2, 24T156, 24T157, 24T158, 24T159, 24T165, 24T166, 32T392
12T50 $\GL(2,Z/4)$ 96 -1 Yes $C_2$, $S_3$, $S_3$ 12T49 x 2, 12T52, 16T186, 16T193, 24T153, 24T154, 24T155 x 2, 24T156, 24T157, 24T158, 24T159, 24T165, 24T166, 32T392
Next

Results are complete for degrees $\leq 23$.